Find the LCM of 400, 909, 544, 238, 102 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 400, 909, 544, 238, 102. So, keep reading to learn more.
Given numbers are 400,909,544,238,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,909,544,238,102 is 86536800.
Find LCM of 400,909,544,238,102 with Prime Factorization
2 | 400, 909, 544, 238, 102 |
2 | 200, 909, 272, 119, 51 |
2 | 100, 909, 136, 119, 51 |
2 | 50, 909, 68, 119, 51 |
3 | 25, 909, 34, 119, 51 |
17 | 25, 303, 34, 119, 17 |
25, 303, 2, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 25 x 303 x 2 x 7 x 1 = 86536800
Therefore, the lowest common multiple of 400,909,544,238,102 is 86536800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
400 x 909 x 544 x 238 x 102 = 4801753958400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
909 : 1, 3, 9, 101, 303, 909
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
238 : 1, 2, 7, 14, 17, 34, 119, 238
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,909,544,238,102, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
909:3x 3x 101
544:2x 2x 2x 2x 2x 17
238:2x 7x 17
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 17x 17 = 55488
Therefore, the value for common factors is 55488.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 4801753958400/(1x55488)
LCM = 4801753958400/55488
LCM = 86536800
Thus, we can understand that the LCM of 400,909,544,238,102 is 86536800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 400, 909, 544, 238, 102?
Answer: LCM of 400, 909, 544, 238, 102 is 86536800.
2. How to calculate the LCM of 400, 909, 544, 238, 102?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 400, 909, 544, 238, 102.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.